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Finding the Fourth Proportional to 491,649,794.40, 737,474,691.60 and 491,649,794.40

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Solution

The fourth proportional to 491,649,794.40, 737,474,691.60 and 491,649,794.40 is: 737,474,691.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,649,794.40 : 737,474,691.60 = 491,649,794.40 : x
  2. Step 2: Convert to fraction form
    491,649,794.40/737,474,691.60 = 491,649,794.40/x
  3. Step 3: Cross multiply
    491,649,794.40x = 737,474,691.60 × 491,649,794.40
  4. Step 4: Simplify right side
    491,649,794.40x = 362,579,280,500,343,424
  5. Step 5: Solve for x
    x = 362,579,280,500,343,424/491,649,794.40
  6. Step 6: Final answer
    x = 737,474,691.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.